In section  we further investigate the effects generated by varying the dimension \(d\) , adopting a toy model for the single-nucleon potential. Here the model nucleon potential is designed to effectively re-produce certain empirical knowledge on the 3D EOS [1]}, such as the saturation density \(\rho _0\) , the binding energy \(E_0(\rho _0)\)  at the saturation density, the incompressibility coefficient \(K_0\) , the skewness \(J_0\)  of the SNM, the magnitude \(E_{\mathrm {sym}}(\rho _0)\)  and the slope coefficient \(L\)  of the symmetry energy at the saturation density \(\rho _0\) , as well as the single-nucleon potential extracted from optical model fittings of nucleon-nucleus scattering data [2]}. Moreover, the pressure in SNM at densities around about \((1.5-4.5)\rho _0\)  is also required to be consistent with the constraint from analyzing collective flow in relativisitc heavy-ion reactions. Then we find that the EOS of SNM as well as the symmetry energy are generally enhanced (reduced) as the dimension \(d\)  increases (decreases), from the viewpoint of the \(\epsilon \) -expansion approach developed in section .
These results may find relevant applications in both astrophysics and nuclear physics.
